Properties of the Number 85511

Eighty-Five Thousand Five Hundred Eleven

Basics

Value: 85510 → 85511 → 85512

Parity: odd

Prime: No

Previous Prime: 85487

Next Prime: 85513

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 233 × 367

Divisors: 1, 233, 367, 85511

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000000111

Octal: 247007

Duodecimal: 4159B

Hexadecimal: 14e07

Square: 7312131121

Square Root: 292.42263934244215

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222616

Composite numbers k such that k's prime factors are distinct, the digits of k are in nonincreasing order while the digits of the concatenation of k's ascending order prime factors are in nondecreasing order. A372295

Row 3 of A328464: a(n) = A276156(8n - 4) / 6. A328466

a(n) = 4·n³ - 3·n² + 2·n - 1. A131464

Numerators of coefficients in asymptotic expansion of exp(2*(H_k-γ))/k² in powers of 1/k, where H_k are the harmonic numbers A001008/A002805 and γ is the Euler-Mascheroni constant A001620. A331777

Number of 9-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187514

Number of nX4 0..3 arrays with no more than floor(nX4/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222612

Number of nX6 0..3 arrays with no more than floor(nX6/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222614

T(n,k)=Number of n-step S, E, and NW-moving king's tours on a kXk board summed over all starting positions. A187507

Number of integer partitions of n whose LCM is 2·n. A327780